Dynamics of numerical methods for cosymmetric ordinary differential equations
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, cilt.11, sa.9, ss.2339-2357, 2001 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Derleme
- Cilt numarası: 11 Sayı: 9
- Basım Tarihi: 2001
- Doi Numarası: 10.1142/s0218127401003504
- Dergi Adı: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2339-2357
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
The dynamics of numerical approximation of cosymmetric ordinary differential equations with a continuous family of equilibria is investigated. Nonconservative and Hamiltonian model systems in two dimensions are considered and these systems are integrated with several first-order Runge-Kutta methods. The preservation of symmetry and cosymmetry, the stability of equilibrium points, spurious solutions and transition to chaos are investigated by presenting analytical and numerical results. The overall performance of the methods for different parameters is discussed.